The TVM solver is a tool found in graphing calculators, that solve Time
Value of Money problems.
The group of values that will return the same value as the given expression is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :ENDReasons:
In the TVM solver, we have;
I = The annual percentage rate
N = n × t
t = The number of years
PV = Present value
PMT = Payment
P/Y = Number of payments per year = n
C/Y = Number of compounding periods per year = n
The formula for monthly payment is presented as follows;
[tex]M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t} }{\left(1+\dfrac{r}{n} \right)^{n \times t} - 1}}[/tex]
Which gives;
[tex]P = \mathbf{\displaystyle \frac{M\cdot \left(\left(1+\dfrac{r}{n} \right)^{n \times t} - 1 \right) }{\left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t}}}[/tex]
Therefore, we get;
Where;
M = PMT = -415
P = PV
r = I
P/Y = n = 12
Therefore;
[tex]\displaystyle 0.003 = \frac{I}{12}[/tex]
I = 0.003 × 12 = 0.036 = 3.6%
N = n × t = 24
[tex]P = \displaystyle \frac{(415)\cdot \left(\left(1+\dfrac{I}{12} \right)^{24} - 1 \right) }{\left(\dfrac{I}{12} \right) \cdot \left(1+\dfrac{I}{12} \right)^{24}} = \mathbf{\displaystyle \frac{(415)\cdot \left(\left(1+0.003\right)^{24} - 1 \right) }{\left(0.003\right) \cdot \left(1+0.003 \right)^{24}}} = ?[/tex]
The value of the equation is the present value, PV = ?
When payment are made based on the PV, we have FV = 0
The group of values the same value as the expression[tex]\displaystyle \frac{(\$415)\cdot (1 + 0.003)^{24} - 1}{(0.003) \cdot (1 + 0.003)^{24}}[/tex], when plugged into the TVM solver of a calculator is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END
Learn more about Present Value Solver here:
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y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither
Answer:
perpendicular
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x + 3 ← is in slope- intercept form
with slope m = - 4
x - 4y = 8 ( subtract x from both sides )
- 4y = - x + 8 ( divide through by - 4 )
y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
Since the slopes are not equal the lines are not parallel
- 4 × [tex]\frac{1}{4}[/tex] = - 1
Then the lines are perpendicular
11111111111111+646463476346546
Answer:
6.5757459e+14
Step-by-step explanation:
is your answer
Answer:
6.5757459e+14
Step-by-step explanation:
6.5757459e+14
3
Assume that a randomly selected subject is given a one density test those test scores are normally distributed with a mean of 0 and a standard deviation of 1
Answer:
See Image below for answer:)
Step-by-step explanation:
if you wake up at 7:00 a.m. and it takes you 1 hour and 30 minutes to get ready and walk to school at what time will you get to school
A bee travels 50 meters in 2 seconds. At this speed, how long would it take for the bee to travel 375 meters?
Calculate the bee's unit rate of meters per second.
What is the equation of constant proportionality? (y=kx)
Answer:
15 seconds
Step-by-step explanation:
Someone plz help me :(
Answer:
yes its B................
expand the logarithm as much as possible using properties. please help!
log square root on 1,000,000x
Step-by-step explanation:
log (√1000000x)
Rewrite √1000000x as (1000000x)1/2.
expand long ((1000000x)1/2) by moving 1/2
oby moving logarithm.
1/2 longth (1000000x)
Rewrite
log
(1000000x) as log(1000000)+log(x).
1/2(log(1000000)+log(x))
Logarithm base 10 of 1000000 is 6.
1/2(6+log(x))
Apply the distributive property.
1/2.6+1/2 log(x)
Cancel the common factor of 2.
3+1/2 long(x)
Combine 1/2 and log(x)
3+ long(x)/2
Step-by-step explanation:
See the steps below:
[tex]log\sqrt{1000000x} =\\(1/2)log 1000000x=\\(1/2)log10^6+(1/2)logx=\\(1/2)(6) + (1/2)logx=\\3+(1/2)logx[/tex]
What is the answer to number 4 ?
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The supermarket has 10 aisles. 1 of the aisles is empty. What percentage of the aisles are empty?
Write your answer using a percent sign (%).
Answer:
10%
Step-by-step explanation:
1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%
The angle of depression of a rabbit from the top
of a cliff is 24°. After the rabbit hops a distance
of 80 m horizontally towards the base of the cliff,
the angle of depression of the rabbit from the
top of the cliff becomes 32°. Find the height of
the cliff.
The angle of depression is the angle formed with the horizontal, when an object is viewed below the horizontal level. Thus, the height of the cliff is approximately 123.86 m.
Let the height of the cliff be represented by h, so that:
From the triangle 1, we have:
tan [tex]32^{o}[/tex] = [tex]\frac{h}{x}[/tex]
⇒ h = tan [tex]32^{o}[/tex]*x
h = x tan [tex]32^{o}[/tex] ............. 1
Also, from the bigger triangle, we have:
tan [tex]24^{o}[/tex] = [tex]\frac{h}{80 + x}[/tex]
⇒ h = tan [tex]24^{o}[/tex] (80 + x) ......... 2
Now equating the expressions for h in equations 1 and 2, we have:
x tan [tex]32^{o}[/tex] = tan [tex]24^{o}[/tex] (80 + x)
0.6249x = 0.4452 (80 + x)
= 35.616 + 0.4452x
0.6249x - 0.4452x = 35.616
0.1797 x = 35.616
x = [tex]\frac{35.616}{0.1797}[/tex]
x = 198.2 m
Substitute the value of x in equation 1;
h = x tan [tex]32^{o}[/tex]
= 198.2 * 0.6249
= 123.8552
h = 123.86 m
Therefore, the height of the cliff is approximately 123.86 m.
A sketch to this question is attached.
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paisley’s mom buys a car using a loan . she repays the loan by paying $22.032 in 48 equal monthly payments . how much is each payment ?
Answer: $459 each month
Step-by-step explanation:
Paisley's mom is paying the loan of $22,032 in 48 equal monthly payments.
In order to find how much each month's payment would be you divide the loan by 48.
22,032 ÷ 48 = 459
Paisley's mom would need to pay $459 each month for 48 months to pay off her loan.
convert 40 yards to feet
Answer:
120 feet
.................................
Step-by-step explanation:
1 yard = 3 feet
What number combination equals -125
Answer:
-25(5)
Step-by-step explanation:
-25 ×5 = -125
The perimeter of a triangle is 7a-11b . If two of its sides are 2a+b and a-9b, what is the third side?
Answer:
4a plus or minus 1b
Step-by-step explanation:
24 is 40% of what number? Use percent equation.
Answer:
24 is 40% of 60
Step-by-step explanation:
pls help asap MIDSEGMENTS
Answer:
Angle 5=60°
Step-by-step explanation:
Angle 4 = 180°-116° (adj angles on a str line)
= 64°
Angle 5 = 180°-64°-56° (angle sum of triangle)
= 60°
Answer:
<5 = 60 degrees
Step-by-step explanation:
<4 = 180-116 = 64 degrees
64 + 56 + <5 = 180 degrees
<5 = 180-56-64
What percentage of a dollar is the value of 5 quarters and 1 dime?
Answer:
135%
Step-by-step explanation:
1 dollar is 100 cents. 5 quarters and 1 dime is 5x25 + 10 = 135 cents. 5 quarters and 1 dime would be 135/100 = 135% of 1 dollar.
Simplify the following expression: (1 point)
2x − 6y + 3x2 + 7y − 14x
3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y
Answer:
[tex]⟼3x {}^{2} + 12 + y[/tex]
Step-by-step explanation:
[tex]Here,2x − 6y + 3x {}^{2} + 7y − 14x [/tex]
[tex] = 3x {}^{2} + 2x - 14x - 6y + 7y[/tex]
[tex] = 3x {}^{2} - 12x - 6y + 7y[/tex]
[tex] = 3x {}^{2} - 12x + y[/tex]
Hello there!
Combine Like Terms:
2x-6y+3x^2+7y-14x
-12x+y+3x^2
3x^2-12x+y
Hope this helps. you!
~Just a determined gal
#CarryOnLearning
Please mark brainliest; I would really appreciate that! :)
[tex]MysteriousNature :)[/tex]
Can someone help me Expand 3(z+2)
Answer: 3z+6
Step-by-step explanation:
(3) (z+2)
(3) (z)+(3) (2)
3z+6
I NEED HELP THIS HW IS DUE TODAY
one half of the sum of number and 10
Sum of x and 10 is (x+10)
Half of sum of x and 10 = [tex] \frac{x + 10}{2} \\ [/tex]
Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?
Answer:
Step-by-step explanation:
First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:
[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]
Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.
[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]
HOPE THIS HELPS :D
The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.
We know that if two angles of any triangle are the same then their opposite sides are also the same.
Let each side length of x ft. Then by the Pythagoras theorem. we have
[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]
More about the right-angle triangle link is given below.
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Solve the equation.
2x+4+8x=24
2x + 4 + 8x = 24
2x + 8x = 24 - 4
10x = 20
x = 20 ÷ 10
x = 2
____
Hope it helps!
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂ ❤
Answer:
[tex]\boxed{\boxed{\sf x=2}}[/tex]
Step-by-step explanation:
[tex]\sf 2x+4+8x=24[/tex]
Combine like terms:
[tex]\sf 2x+8x+4=24[/tex][tex]\sf 10x+4=24[/tex]Subtract 4 from both sides:
[tex]\sf 10x+4-4=24-4[/tex][tex]\sf 10x=20[/tex]Divide both sides by 10:
[tex]\sf \cfrac{10x}{10}=\cfrac{20}{10}[/tex][tex]\sf x=2[/tex]____________________________
I am a decimal number between 0.3 and 0.5. The digit in my hundredths place is 5 greaterthan the digit in tenths place, if the number in tenths place is 4 what will be the number?
Answer:
0.4
Step-by-step explanation:
it's between 0.3 and 0.5 and the number in tenth is 4 so the answer is 0.4
hello what is 100^4
pls help asap my homework
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Solution ~
[tex]100 {}^{4} [/tex][tex]100 \times 100 \times 100 \times 100[/tex][tex]100000000[/tex]or it can also be expressed as ~
[tex]10 {}^{8} [/tex]
[tex]1 {0}^{8} \\ \\ hope \: \: it \: \: helps \\ \\ see \: \: the \: \: attachement[/tex]
Solve.
315−14x=−45
Enter your answer in the box.
x =
plzzzzz helpp me
Answer:
180/7
Step-by-step explanation:
can someone help me peaseeeee
What is the volume of a sphere with a surface area of 64 pi cm^2?
16 pi cm^3
21 1/3 pi cm^3
48pi cm^3
85 1/3 pi cm^3
Answer:
Hello, have a great day.
Answer:
85 1/3 pi cm3 I hope this helps.
Of the following sets which are equivalent to the set S = {an even number less than 10 } is
A = {Prime number less than 10 }
B = {Odd factor less than 15}
C= {Odd numbers less than 7}
D ={An even number between 10 and 15}
E ={An odd number between 10 and 16}
Answer:
A, 2
Step-by-step explanation:
We can immediately rule out B and C; they are odd numbers while S is an even number.
We can also rule out D and E. This is because D and E are greater than or equal to 10, while S is less than 10.
A number that can fulfill the requirements for both A and S is 2
(ASAP) helpp i need to get this done 3m
3(a-4) + 1= 9 - a
3(a-4) = 8 - a
3a-12 = 8 - a
4a = 20
a=5
I hope this helps! :)
Answer:
a=5
Step-by-step explanation:
3(a-4)+1=9-a
3a-12+1=9-a
3a-11=9-a
3a+a=9+11
4a=20
a=20÷4
=5